Polynomial and Rational Inequalities - Onondaga Central School 多项式与有理不等式Onondaga中心学校.pptVIP

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Polynomial and Rational Inequalities - Onondaga Central School 多项式与有理不等式Onondaga中心学校.ppt

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Polynomial and Rational Inequalities - Onondaga Central School 多项式与有理不等式Onondaga中心学校

Polynomial and Rational Inequalitiesand Interval Notation Mrs. King Pre-Calculus Example 1 We can also express this solution with a graph. -2 A third way to express this solution is by using interval notation. Notice that the open circle translates into a parenthesis. /wcotter/Powerpt/Math_PPT/Sec02_9_Supplement.ppt Example 2 We can express this situation with a graph. -1 5 We can also express this graph with interval notation. /wcotter/Powerpt/Math_PPT/Sec02_9_Supplement.ppt Example 3 We can express this situation with a graph. -1 5 We can also express this graph with interval notation. /wcotter/Powerpt/Math_PPT/Sec02_9_Supplement.ppt Exercise 1 Translate the graph into interval notation. -3 5 Solid circles are brackets. Open circles are parenthesis. /wcotter/Powerpt/Math_PPT/Sec02_9_Supplement.ppt Exercise 2 Translate the graph into interval notation. 3 Arrows translate into infinity signs with parenthesis. Always. /wcotter/Powerpt/Math_PPT/Sec02_9_Supplement.ppt Exercise 3 Translate the graph into interval notation. Arrows translate into infinity signs with parenthesis. Negative infinity always goes to the left. Positive infinity always goes to the right. /wcotter/Powerpt/Math_PPT/Sec02_9_Supplement.ppt Exercise 4 Translate the graph into interval notation. An open circle is always a parenthesis. Negative infinity always goes to the left. Positive infinity always goes to the right. -8 10 /wcotter/Powerpt/Math_PPT/Sec02_9_Supplement.ppt Linear Inequalities Polynomial Inequalities The graph of y=f(x) lies above the x-axis exactly when f(x)0 and below the x-axis exactly when f(x)0. Practice Problem Set the inequality “equal” to zero. Graph on your graphing calculator. Find the zeros. Write the answer in interval notation. Practice Problem Rational Inequalities The behavior of a rational function f(x) is determined by the x-intercepts and asymptotes of the function. Practice Problem Homework Page 369 #21-24, 29, 30, 35, 41-44, 64, 74 * * * * * * * * * * * * * *